If you go in the Me tab, you can see the Web App Login banner.
Here is how you can use it:
- From your phone, go in Me and tap on Web App Login
- Then from your computer, go to web.textme-app.com
- From the computer, click on "Login With Your Mobile Device". This will display a QR Code
- Use your phone to scan it.
Then you will be automatically logged into your account and you will see your conversations!